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Atlas › Integer Profiles › Node 9,731,016

9,731,016

23 × 34 × 15017
Abundant Even Composite

9,731,016 factors as 2^3 × 3^4 × 15017. Its 40 positive divisors give a proper-divisor sum of 17,526,654, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 15017
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 27,257,670
Proper Divisor Sum 17,526,654
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9731011 ← → #9731027

Radix Representation

Decimal 9731016
Binary 100101000111101111001000 (24 bits)
Octal 0o45075710
Hexadecimal 0x947BC8

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 15,017 30,034 45,051 60,068 90,102 120,136 135,153 180,204 270,306 360,408 405,459 540,612 810,918 1,081,224 1,216,377 1,621,836 2,432,754 3,243,672 4,865,508 9,731,016

Collatz Trajectory (101 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,731,016 4,865,508 2,432,754 1,216,377 3,649,132 1,824,566 912,283 2,736,850 1,368,425 4,105,276 2,052,638 1,026,319 3,078,958 1,539,479 4,618,438 2,309,219 6,927,658 3,463,829 10,391,488 5,195,744 2,597,872 1,298,936 649,468 324,734 162,367 487,102 243,551 730,654 365,327 1,095,982 547,991 1,643,974 821,987 2,465,962 1,232,981 3,698,944 1,849,472 924,736 462,368 231,184 115,592 57,796 28,898 14,449 43,348 21,674 10,837 32,512 16,256 8,128 4,064 2,032 1,016 508 254 127 382 191 574 287

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